The formula for any geometric sequence is an = a1 · rn - 1, where an represents the value of the nth term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence 2, -6, 18, -54, ...? an = 2 · 3n - 1 an = 2 · (-3)n - 1 an = 3 · 2n - 1 an = -3 · 2n - 1

The second choice

Step-by-step explanation:

So first we would plug in the first term which is 2 so we would get times so next we would see that the common ration is -3 since every time the number is being multiplied by -3. so then our equation would be times . Now we would just find the choice that matches and it would be the second choice.

option 2

Step-by-step explanation:

First term

common ratio = r = second term ÷ first term

                            = -6 ÷2 = -4

Plug in the values of   & r in the formula

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

21/58.

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